Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

282×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4813
20	4487
19	4229
18	3906
17	3648
16	3322
15	3006
14	2545
13	1903
12	1348
11	863
10	583
9	411
8	337
7	254
6	203
5	147
4	96
3	53
2	31
1	18
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.2b	(fma (- z t) (/ y (- z a)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

15.0ms	(/ y (- z a))
1.0ms	(fma (- z t) (/ y (- z a)) x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- z a))
87.0ms	(fma (- z t) (/ y (- z a)) x)

simplify1.5s

Counts

55 → 55

Iterations

Iter	Nodes
done	5003
3	1267
2	459
1	177
0	92

prune347.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
10.3b	(* (- z t) (/ y (- z a)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-l*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 87

Calls

2 calls:

16.0ms	(/ y (- z a))
66.0ms	(* (- z t) (/ y (- z a)))

series142.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- z a))
108.0ms	(* (- z t) (/ y (- z a)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	1223
1	329
0	134

prune633.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
4.4b	(* (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ y (cbrt (- z a))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 130

Calls

4 calls:

4.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
145.0ms	(* (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ y (cbrt (- z a))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- z a))
181.0ms	(cbrt (- z a))
211.0ms	(cbrt (- z a))
135.0ms	(* (/ (- z t) (* (cbrt (- z a)) (cbrt (- z a)))) (/ y (cbrt (- z a))))

simplify2.2s

Counts

142 → 142

Iterations

Iter	Nodes
done	5002
2	2364
1	615
0	215

prune939.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.6b	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- z a))) (* (/ (cbrt (- z t)) (cbrt (- z a))) (/ y (cbrt (- z a)))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
35×	`add-cbrt-cube`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
20×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`associate-l`
10×	`add-cube-cbrt`
9×	`pow1`
8×	`cbrt-div` `times-frac`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`associate-/r/`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 115

Calls

4 calls:

4.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
127.0ms	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- z a))) (* (/ (cbrt (- z t)) (cbrt (- z a))) (/ y (cbrt (- z a)))))

series761.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- z t))
199.0ms	(cbrt (- z t))
211.0ms	(cbrt (- z t))
140.0ms	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- z a))) (* (/ (cbrt (- z t)) (cbrt (- z a))) (/ y (cbrt (- z a)))))

simplify2.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1902
1	549
0	202

prune744.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes726.0ms

Accuracy

76.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.0b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

947.0ms	8772×	body	80	valid
0.0ms	1×	body	160	valid